crypto/ec/ec_lcl.h

   1 /*
   2  * Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
   3  *
   4  * Licensed under the OpenSSL license (the "License").  You may not use
   5  * this file except in compliance with the License.  You can obtain a copy
   6  * in the file LICENSE in the source distribution or at
   7  * https://www.openssl.org/source/license.html
   8  */
   9
  10 /* ====================================================================
  11  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
  12  *
  13  * Portions of the attached software ("Contribution") are developed by
  14  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
  15  *
  16  * The Contribution is licensed pursuant to the OpenSSL open source
  17  * license provided above.
  18  *
  19  * The elliptic curve binary polynomial software is originally written by
  20  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
  21  *
  22  */
  23
  24 #include <stdlib.h>
  25
  26 #include <openssl/obj_mac.h>
  27 #include <openssl/ec.h>
  28 #include <openssl/bn.h>
  29 #include "internal/refcount.h"
  30
  31 #include "e_os.h"
  32
  33 #if defined(__SUNPRO_C)
  34 # if __SUNPRO_C >= 0x520
  35 #  pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
  36 # endif
  37 #endif
  38
  39 /* Use default functions for poin2oct, oct2point and compressed coordinates */
  40 #define EC_FLAGS_DEFAULT_OCT    0x1
  41
  42 /* Use custom formats for EC_GROUP, EC_POINT and EC_KEY */
  43 #define EC_FLAGS_CUSTOM_CURVE   0x2
  44
  45 /* Curve does not support signing operations */
  46 #define EC_FLAGS_NO_SIGN        0x4
  47
  48 /*
  49  * Structure details are not part of the exported interface, so all this may
  50  * change in future versions.
  51  */
  52
  53 struct ec_method_st {
  54     /* Various method flags */
  55     int flags;
  56     /* used by EC_METHOD_get_field_type: */
  57     int field_type;             /* a NID */
  58     /*
  59      * used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free,
  60      * EC_GROUP_copy:
  61      */
  62     int (*group_init) (EC_GROUP *);
  63     void (*group_finish) (EC_GROUP *);
  64     void (*group_clear_finish) (EC_GROUP *);
  65     int (*group_copy) (EC_GROUP *, const EC_GROUP *);
  66     /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */
  67     /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */
  68     int (*group_set_curve) (EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
  69                             const BIGNUM *b, BN_CTX *);
  70     int (*group_get_curve) (const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b,
  71                             BN_CTX *);
  72     /* used by EC_GROUP_get_degree: */
  73     int (*group_get_degree) (const EC_GROUP *);
  74     int (*group_order_bits) (const EC_GROUP *);
  75     /* used by EC_GROUP_check: */
  76     int (*group_check_discriminant) (const EC_GROUP *, BN_CTX *);
  77     /*
  78      * used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free,
  79      * EC_POINT_copy:
  80      */
  81     int (*point_init) (EC_POINT *);
  82     void (*point_finish) (EC_POINT *);
  83     void (*point_clear_finish) (EC_POINT *);
  84     int (*point_copy) (EC_POINT *, const EC_POINT *);
  85     /*-
  86      * used by EC_POINT_set_to_infinity,
  87      * EC_POINT_set_Jprojective_coordinates_GFp,
  88      * EC_POINT_get_Jprojective_coordinates_GFp,
  89      * EC_POINT_set_affine_coordinates_GFp,     ..._GF2m,
  90      * EC_POINT_get_affine_coordinates_GFp,     ..._GF2m,
  91      * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m:
  92      */
  93     int (*point_set_to_infinity) (const EC_GROUP *, EC_POINT *);
  94     int (*point_set_Jprojective_coordinates_GFp) (const EC_GROUP *,
  95                                                   EC_POINT *, const BIGNUM *x,
  96                                                   const BIGNUM *y,
  97                                                   const BIGNUM *z, BN_CTX *);
  98     int (*point_get_Jprojective_coordinates_GFp) (const EC_GROUP *,
  99                                                   const EC_POINT *, BIGNUM *x,
 100                                                   BIGNUM *y, BIGNUM *z,
 101                                                   BN_CTX *);
 102     int (*point_set_affine_coordinates) (const EC_GROUP *, EC_POINT *,
 103                                          const BIGNUM *x, const BIGNUM *y,
 104                                          BN_CTX *);
 105     int (*point_get_affine_coordinates) (const EC_GROUP *, const EC_POINT *,
 106                                          BIGNUM *x, BIGNUM *y, BN_CTX *);
 107     int (*point_set_compressed_coordinates) (const EC_GROUP *, EC_POINT *,
 108                                              const BIGNUM *x, int y_bit,
 109                                              BN_CTX *);
 110     /* used by EC_POINT_point2oct, EC_POINT_oct2point: */
 111     size_t (*point2oct) (const EC_GROUP *, const EC_POINT *,
 112                          point_conversion_form_t form, unsigned char *buf,
 113                          size_t len, BN_CTX *);
 114     int (*oct2point) (const EC_GROUP *, EC_POINT *, const unsigned char *buf,
 115                       size_t len, BN_CTX *);
 116     /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */
 117     int (*add) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 118                 const EC_POINT *b, BN_CTX *);
 119     int (*dbl) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
 120     int (*invert) (const EC_GROUP *, EC_POINT *, BN_CTX *);
 121     /*
 122      * used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp:
 123      */
 124     int (*is_at_infinity) (const EC_GROUP *, const EC_POINT *);
 125     int (*is_on_curve) (const EC_GROUP *, const EC_POINT *, BN_CTX *);
 126     int (*point_cmp) (const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
 127                       BN_CTX *);
 128     /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */
 129     int (*make_affine) (const EC_GROUP *, EC_POINT *, BN_CTX *);
 130     int (*points_make_affine) (const EC_GROUP *, size_t num, EC_POINT *[],
 131                                BN_CTX *);
 132     /*
 133      * used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult,
 134      * EC_POINT_have_precompute_mult (default implementations are used if the
 135      * 'mul' pointer is 0):
 136      */
 137     int (*mul) (const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
 138                 size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
 139                 BN_CTX *);
 140     int (*precompute_mult) (EC_GROUP *group, BN_CTX *);
 141     int (*have_precompute_mult) (const EC_GROUP *group);
 142     /* internal functions */
 143     /*
 144      * 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and
 145      * 'dbl' so that the same implementations of point operations can be used
 146      * with different optimized implementations of expensive field
 147      * operations:
 148      */
 149     int (*field_mul) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 150                       const BIGNUM *b, BN_CTX *);
 151     int (*field_sqr) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
 152     int (*field_div) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 153                       const BIGNUM *b, BN_CTX *);
 154     /* e.g. to Montgomery */
 155     int (*field_encode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 156                          BN_CTX *);
 157     /* e.g. from Montgomery */
 158     int (*field_decode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 159                          BN_CTX *);
 160     int (*field_set_to_one) (const EC_GROUP *, BIGNUM *r, BN_CTX *);
 161     /* private key operations */
 162     size_t (*priv2oct)(const EC_KEY *eckey, unsigned char *buf, size_t len);
 163     int (*oct2priv)(EC_KEY *eckey, const unsigned char *buf, size_t len);
 164     int (*set_private)(EC_KEY *eckey, const BIGNUM *priv_key);
 165     int (*keygen)(EC_KEY *eckey);
 166     int (*keycheck)(const EC_KEY *eckey);
 167     int (*keygenpub)(EC_KEY *eckey);
 168     int (*keycopy)(EC_KEY *dst, const EC_KEY *src);
 169     void (*keyfinish)(EC_KEY *eckey);
 170     /* custom ECDH operation */
 171     int (*ecdh_compute_key)(unsigned char **pout, size_t *poutlen,
 172                             const EC_POINT *pub_key, const EC_KEY *ecdh);
 173 };
 174
 175 /*
 176  * Types and functions to manipulate pre-computed values.
 177  */
 178 typedef struct nistp224_pre_comp_st NISTP224_PRE_COMP;
 179 typedef struct nistp256_pre_comp_st NISTP256_PRE_COMP;
 180 typedef struct nistp521_pre_comp_st NISTP521_PRE_COMP;
 181 typedef struct nistz256_pre_comp_st NISTZ256_PRE_COMP;
 182 typedef struct ec_pre_comp_st EC_PRE_COMP;
 183
 184 struct ec_group_st {
 185     const EC_METHOD *meth;
 186     EC_POINT *generator;        /* optional */
 187     BIGNUM *order, *cofactor;
 188     int curve_name;             /* optional NID for named curve */
 189     int asn1_flag;              /* flag to control the asn1 encoding */
 190     point_conversion_form_t asn1_form;
 191     unsigned char *seed;        /* optional seed for parameters (appears in
 192                                  * ASN1) */
 193     size_t seed_len;
 194     /*
 195      * The following members are handled by the method functions, even if
 196      * they appear generic
 197      */
 198     /*
 199      * Field specification. For curves over GF(p), this is the modulus; for
 200      * curves over GF(2^m), this is the irreducible polynomial defining the
 201      * field.
 202      */
 203     BIGNUM *field;
 204     /*
 205      * Field specification for curves over GF(2^m). The irreducible f(t) is
 206      * then of the form: t^poly[0] + t^poly[1] + ... + t^poly[k] where m =
 207      * poly[0] > poly[1] > ... > poly[k] = 0. The array is terminated with
 208      * poly[k+1]=-1. All elliptic curve irreducibles have at most 5 non-zero
 209      * terms.
 210      */
 211     int poly[6];
 212     /*
 213      * Curve coefficients. (Here the assumption is that BIGNUMs can be used
 214      * or abused for all kinds of fields, not just GF(p).) For characteristic
 215      * > 3, the curve is defined by a Weierstrass equation of the form y^2 =
 216      * x^3 + a*x + b. For characteristic 2, the curve is defined by an
 217      * equation of the form y^2 + x*y = x^3 + a*x^2 + b.
 218      */
 219     BIGNUM *a, *b;
 220     /* enable optimized point arithmetics for special case */
 221     int a_is_minus3;
 222     /* method-specific (e.g., Montgomery structure) */
 223     void *field_data1;
 224     /* method-specific */
 225     void *field_data2;
 226     /* method-specific */
 227     int (*field_mod_func) (BIGNUM *, const BIGNUM *, const BIGNUM *,
 228                            BN_CTX *);
 229     /* data for ECDSA inverse */
 230     BN_MONT_CTX *mont_data;
 231
 232     /*
 233      * Precomputed values for speed. The PCT_xxx names match the
 234      * pre_comp.xxx union names; see the SETPRECOMP and HAVEPRECOMP
 235      * macros, below.
 236      */
 237     enum {
 238         PCT_none,
 239         PCT_nistp224, PCT_nistp256, PCT_nistp521, PCT_nistz256,
 240         PCT_ec
 241     } pre_comp_type;
 242     union {
 243         NISTP224_PRE_COMP *nistp224;
 244         NISTP256_PRE_COMP *nistp256;
 245         NISTP521_PRE_COMP *nistp521;
 246         NISTZ256_PRE_COMP *nistz256;
 247         EC_PRE_COMP *ec;
 248     } pre_comp;
 249 };
 250
 251 #define SETPRECOMP(g, type, pre) \
 252     g->pre_comp_type = PCT_##type, g->pre_comp.type = pre
 253 #define HAVEPRECOMP(g, type) \
 254     g->pre_comp_type == PCT_##type && g->pre_comp.type != NULL
 255
 256 struct ec_key_st {
 257     const EC_KEY_METHOD *meth;
 258     ENGINE *engine;
 259     int version;
 260     EC_GROUP *group;
 261     EC_POINT *pub_key;
 262     BIGNUM *priv_key;
 263     unsigned int enc_flag;
 264     point_conversion_form_t conv_form;
 265     CRYPTO_REF_COUNT references;
 266     int flags;
 267     CRYPTO_EX_DATA ex_data;
 268     CRYPTO_RWLOCK *lock;
 269 };
 270
 271 struct ec_point_st {
 272     const EC_METHOD *meth;
 273     /*
 274      * All members except 'meth' are handled by the method functions, even if
 275      * they appear generic
 276      */
 277     BIGNUM *X;
 278     BIGNUM *Y;
 279     BIGNUM *Z;                  /* Jacobian projective coordinates: * (X, Y,
 280                                  * Z) represents (X/Z^2, Y/Z^3) if Z != 0 */
 281     int Z_is_one;               /* enable optimized point arithmetics for
 282                                  * special case */
 283 };
 284
 285 NISTP224_PRE_COMP *EC_nistp224_pre_comp_dup(NISTP224_PRE_COMP *);
 286 NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
 287 NISTP521_PRE_COMP *EC_nistp521_pre_comp_dup(NISTP521_PRE_COMP *);
 288 NISTZ256_PRE_COMP *EC_nistz256_pre_comp_dup(NISTZ256_PRE_COMP *);
 289 NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
 290 EC_PRE_COMP *EC_ec_pre_comp_dup(EC_PRE_COMP *);
 291
 292 void EC_pre_comp_free(EC_GROUP *group);
 293 void EC_nistp224_pre_comp_free(NISTP224_PRE_COMP *);
 294 void EC_nistp256_pre_comp_free(NISTP256_PRE_COMP *);
 295 void EC_nistp521_pre_comp_free(NISTP521_PRE_COMP *);
 296 void EC_nistz256_pre_comp_free(NISTZ256_PRE_COMP *);
 297 void EC_ec_pre_comp_free(EC_PRE_COMP *);
 298
 299 /*
 300  * method functions in ec_mult.c (ec_lib.c uses these as defaults if
 301  * group->method->mul is 0)
 302  */
 303 int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
 304                 size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
 305                 BN_CTX *);
 306 int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
 307 int ec_wNAF_have_precompute_mult(const EC_GROUP *group);
 308
 309 /* method functions in ecp_smpl.c */
 310 int ec_GFp_simple_group_init(EC_GROUP *);
 311 void ec_GFp_simple_group_finish(EC_GROUP *);
 312 void ec_GFp_simple_group_clear_finish(EC_GROUP *);
 313 int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
 314 int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
 315                                   const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 316 int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
 317                                   BIGNUM *b, BN_CTX *);
 318 int ec_GFp_simple_group_get_degree(const EC_GROUP *);
 319 int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
 320 int ec_GFp_simple_point_init(EC_POINT *);
 321 void ec_GFp_simple_point_finish(EC_POINT *);
 322 void ec_GFp_simple_point_clear_finish(EC_POINT *);
 323 int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
 324 int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
 325 int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *,
 326                                                   EC_POINT *, const BIGNUM *x,
 327                                                   const BIGNUM *y,
 328                                                   const BIGNUM *z, BN_CTX *);
 329 int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *,
 330                                                   const EC_POINT *, BIGNUM *x,
 331                                                   BIGNUM *y, BIGNUM *z,
 332                                                   BN_CTX *);
 333 int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
 334                                                const BIGNUM *x,
 335                                                const BIGNUM *y, BN_CTX *);
 336 int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *,
 337                                                const EC_POINT *, BIGNUM *x,
 338                                                BIGNUM *y, BN_CTX *);
 339 int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
 340                                              const BIGNUM *x, int y_bit,
 341                                              BN_CTX *);
 342 size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *,
 343                                point_conversion_form_t form,
 344                                unsigned char *buf, size_t len, BN_CTX *);
 345 int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *,
 346                             const unsigned char *buf, size_t len, BN_CTX *);
 347 int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 348                       const EC_POINT *b, BN_CTX *);
 349 int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 350                       BN_CTX *);
 351 int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
 352 int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
 353 int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
 354 int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
 355                       BN_CTX *);
 356 int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
 357 int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num,
 358                                      EC_POINT *[], BN_CTX *);
 359 int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 360                             const BIGNUM *b, BN_CTX *);
 361 int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 362                             BN_CTX *);
 363
 364 /* method functions in ecp_mont.c */
 365 int ec_GFp_mont_group_init(EC_GROUP *);
 366 int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
 367                                 const BIGNUM *b, BN_CTX *);
 368 void ec_GFp_mont_group_finish(EC_GROUP *);
 369 void ec_GFp_mont_group_clear_finish(EC_GROUP *);
 370 int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *);
 371 int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 372                           const BIGNUM *b, BN_CTX *);
 373 int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 374                           BN_CTX *);
 375 int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 376                              BN_CTX *);
 377 int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 378                              BN_CTX *);
 379 int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
 380
 381 /* method functions in ecp_nist.c */
 382 int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src);
 383 int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
 384                                 const BIGNUM *b, BN_CTX *);
 385 int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 386                           const BIGNUM *b, BN_CTX *);
 387 int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 388                           BN_CTX *);
 389
 390 /* method functions in ec2_smpl.c */
 391 int ec_GF2m_simple_group_init(EC_GROUP *);
 392 void ec_GF2m_simple_group_finish(EC_GROUP *);
 393 void ec_GF2m_simple_group_clear_finish(EC_GROUP *);
 394 int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *);
 395 int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
 396                                    const BIGNUM *a, const BIGNUM *b,
 397                                    BN_CTX *);
 398 int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
 399                                    BIGNUM *b, BN_CTX *);
 400 int ec_GF2m_simple_group_get_degree(const EC_GROUP *);
 401 int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
 402 int ec_GF2m_simple_point_init(EC_POINT *);
 403 void ec_GF2m_simple_point_finish(EC_POINT *);
 404 void ec_GF2m_simple_point_clear_finish(EC_POINT *);
 405 int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *);
 406 int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
 407 int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
 408                                                 const BIGNUM *x,
 409                                                 const BIGNUM *y, BN_CTX *);
 410 int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *,
 411                                                 const EC_POINT *, BIGNUM *x,
 412                                                 BIGNUM *y, BN_CTX *);
 413 int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
 414                                               const BIGNUM *x, int y_bit,
 415                                               BN_CTX *);
 416 size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *,
 417                                 point_conversion_form_t form,
 418                                 unsigned char *buf, size_t len, BN_CTX *);
 419 int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *,
 420                              const unsigned char *buf, size_t len, BN_CTX *);
 421 int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 422                        const EC_POINT *b, BN_CTX *);
 423 int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 424                        BN_CTX *);
 425 int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
 426 int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
 427 int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
 428 int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
 429                        BN_CTX *);
 430 int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
 431 int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num,
 432                                       EC_POINT *[], BN_CTX *);
 433 int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 434                              const BIGNUM *b, BN_CTX *);
 435 int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 436                              BN_CTX *);
 437 int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 438                              const BIGNUM *b, BN_CTX *);
 439
 440 /* method functions in ec2_mult.c */
 441 int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r,
 442                        const BIGNUM *scalar, size_t num,
 443                        const EC_POINT *points[], const BIGNUM *scalars[],
 444                        BN_CTX *);
 445 int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 446 int ec_GF2m_have_precompute_mult(const EC_GROUP *group);
 447
 448 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
 449 /* method functions in ecp_nistp224.c */
 450 int ec_GFp_nistp224_group_init(EC_GROUP *group);
 451 int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
 452                                     const BIGNUM *a, const BIGNUM *n,
 453                                     BN_CTX *);
 454 int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group,
 455                                                  const EC_POINT *point,
 456                                                  BIGNUM *x, BIGNUM *y,
 457                                                  BN_CTX *ctx);
 458 int ec_GFp_nistp224_mul(const EC_GROUP *group, EC_POINT *r,
 459                         const BIGNUM *scalar, size_t num,
 460                         const EC_POINT *points[], const BIGNUM *scalars[],
 461                         BN_CTX *);
 462 int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
 463                                const BIGNUM *scalar, size_t num,
 464                                const EC_POINT *points[],
 465                                const BIGNUM *scalars[], BN_CTX *ctx);
 466 int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 467 int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group);
 468
 469 /* method functions in ecp_nistp256.c */
 470 int ec_GFp_nistp256_group_init(EC_GROUP *group);
 471 int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p,
 472                                     const BIGNUM *a, const BIGNUM *n,
 473                                     BN_CTX *);
 474 int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group,
 475                                                  const EC_POINT *point,
 476                                                  BIGNUM *x, BIGNUM *y,
 477                                                  BN_CTX *ctx);
 478 int ec_GFp_nistp256_mul(const EC_GROUP *group, EC_POINT *r,
 479                         const BIGNUM *scalar, size_t num,
 480                         const EC_POINT *points[], const BIGNUM *scalars[],
 481                         BN_CTX *);
 482 int ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
 483                                const BIGNUM *scalar, size_t num,
 484                                const EC_POINT *points[],
 485                                const BIGNUM *scalars[], BN_CTX *ctx);
 486 int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 487 int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group);
 488
 489 /* method functions in ecp_nistp521.c */
 490 int ec_GFp_nistp521_group_init(EC_GROUP *group);
 491 int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p,
 492                                     const BIGNUM *a, const BIGNUM *n,
 493                                     BN_CTX *);
 494 int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group,
 495                                                  const EC_POINT *point,
 496                                                  BIGNUM *x, BIGNUM *y,
 497                                                  BN_CTX *ctx);
 498 int ec_GFp_nistp521_mul(const EC_GROUP *group, EC_POINT *r,
 499                         const BIGNUM *scalar, size_t num,
 500                         const EC_POINT *points[], const BIGNUM *scalars[],
 501                         BN_CTX *);
 502 int ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r,
 503                                const BIGNUM *scalar, size_t num,
 504                                const EC_POINT *points[],
 505                                const BIGNUM *scalars[], BN_CTX *ctx);
 506 int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 507 int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group);
 508
 509 /* utility functions in ecp_nistputil.c */
 510 void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array,
 511                                               size_t felem_size,
 512                                               void *tmp_felems,
 513                                               void (*felem_one) (void *out),
 514                                               int (*felem_is_zero) (const void
 515                                                                     *in),
 516                                               void (*felem_assign) (void *out,
 517                                                                     const void
 518                                                                     *in),
 519                                               void (*felem_square) (void *out,
 520                                                                     const void
 521                                                                     *in),
 522                                               void (*felem_mul) (void *out,
 523                                                                  const void
 524                                                                  *in1,
 525                                                                  const void
 526                                                                  *in2),
 527                                               void (*felem_inv) (void *out,
 528                                                                  const void
 529                                                                  *in),
 530                                               void (*felem_contract) (void
 531                                                                       *out,
 532                                                                       const
 533                                                                       void
 534                                                                       *in));
 535 void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign,
 536                                      unsigned char *digit, unsigned char in);
 537 #endif
 538 int ec_precompute_mont_data(EC_GROUP *);
 539 int ec_group_simple_order_bits(const EC_GROUP *group);
 540
 541 #ifdef ECP_NISTZ256_ASM
 542 /** Returns GFp methods using montgomery multiplication, with x86-64 optimized
 543  * P256. See http://eprint.iacr.org/2013/816.
 544  *  \return  EC_METHOD object
 545  */
 546 const EC_METHOD *EC_GFp_nistz256_method(void);
 547 #endif
 548
 549 size_t ec_key_simple_priv2oct(const EC_KEY *eckey,
 550                               unsigned char *buf, size_t len);
 551 int ec_key_simple_oct2priv(EC_KEY *eckey, const unsigned char *buf, size_t len);
 552 int ec_key_simple_generate_key(EC_KEY *eckey);
 553 int ec_key_simple_generate_public_key(EC_KEY *eckey);
 554 int ec_key_simple_check_key(const EC_KEY *eckey);
 555
 556 /* EC_METHOD definitions */
 557
 558 struct ec_key_method_st {
 559     const char *name;
 560     int32_t flags;
 561     int (*init)(EC_KEY *key);
 562     void (*finish)(EC_KEY *key);
 563     int (*copy)(EC_KEY *dest, const EC_KEY *src);
 564     int (*set_group)(EC_KEY *key, const EC_GROUP *grp);
 565     int (*set_private)(EC_KEY *key, const BIGNUM *priv_key);
 566     int (*set_public)(EC_KEY *key, const EC_POINT *pub_key);
 567     int (*keygen)(EC_KEY *key);
 568     int (*compute_key)(unsigned char **pout, size_t *poutlen,
 569                        const EC_POINT *pub_key, const EC_KEY *ecdh);
 570     int (*sign)(int type, const unsigned char *dgst, int dlen, unsigned char
 571                 *sig, unsigned int *siglen, const BIGNUM *kinv,
 572                 const BIGNUM *r, EC_KEY *eckey);
 573     int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
 574                       BIGNUM **rp);
 575     ECDSA_SIG *(*sign_sig)(const unsigned char *dgst, int dgst_len,
 576                            const BIGNUM *in_kinv, const BIGNUM *in_r,
 577                            EC_KEY *eckey);
 578
 579     int (*verify)(int type, const unsigned char *dgst, int dgst_len,
 580                   const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
 581     int (*verify_sig)(const unsigned char *dgst, int dgst_len,
 582                       const ECDSA_SIG *sig, EC_KEY *eckey);
 583 };
 584
 585 #define EC_KEY_METHOD_DYNAMIC   1
 586
 587 int ossl_ec_key_gen(EC_KEY *eckey);
 588 int ossl_ecdh_compute_key(unsigned char **pout, size_t *poutlen,
 589                           const EC_POINT *pub_key, const EC_KEY *ecdh);
 590 int ecdh_simple_compute_key(unsigned char **pout, size_t *poutlen,
 591                             const EC_POINT *pub_key, const EC_KEY *ecdh);
 592
 593 struct ECDSA_SIG_st {
 594     BIGNUM *r;
 595     BIGNUM *s;
 596 };
 597
 598 int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
 599                           BIGNUM **rp);
 600 int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen,
 601                     unsigned char *sig, unsigned int *siglen,
 602                     const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey);
 603 ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
 604                                const BIGNUM *in_kinv, const BIGNUM *in_r,
 605                                EC_KEY *eckey);
 606 int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len,
 607                       const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
 608 int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len,
 609                           const ECDSA_SIG *sig, EC_KEY *eckey);
 610
 611 int X25519(uint8_t out_shared_key[32], const uint8_t private_key[32],
 612            const uint8_t peer_public_value[32]);
 613 void X25519_public_from_private(uint8_t out_public_value[32],
 614                                 const uint8_t private_key[32]);